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A UNITED STATES
DEPARTMENT OF
COMMERCEPUBLICATION
NAT'L INST. OF STAND & TECH
NBS SPECIAL PUBLICATION 260-44
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F.PARTMENTOF
lOOMMERCE
Standard Reference Materials:
PREPARATION AND USE OF
SUPERCONDUCTIVE
FIXED POINT DEVICES,
SRM 767
NATIONAL BUREAU OF STANDARDS
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APR 9 %
U6^ Standard Reference Materials:
Preparation and Use of
Superconductive Fixed Point Devices, SRM 767
J. F. Schooley, R. J, Soulen, Jr., and
G. A. Evans, Jr.
Heat Division
Institute for Basic Standards
^J' National Bureau of Standards
Washington, D.C. 20234
U.S. DEPARTMENT OF COMMERCE, Peter G. Peterson, Secreiary
NATIONAL BUREAU OF STANDARDS, Lawrence M. Kushner, kcWng Director,
Issued December 1972
Library of Congress Catalog Card Number: 72-600339
National Bureau of Standards Special Publication 260-44
Nat. Bur. Stand. (U.S.), Spec. Publ. 260-44, 35 pages (Dec. 1972)
CODEN: XNBSAV
For sale by the Superintendent of Documents, U.S. Government Printing Office, Washington, D.C. 20402
(Order by SD Catalog No. C13.10:260-44). Price 75 cents.
PREFACE
Standard Reference Materials (SRM's) as defined by theNational Bureau of Standards are "well-characterized mate-rials, produced in quantity, that calibrate a measurementsystem to assure compatibility of measurement in the nation.
"
SRM's are widely used as primary standards in many diversefields in science, industry, and technology, botlj within theUnited States and throughout the world. In many industriestraceability of their quality control process to the nationalmeasurement system is carried out through the mechanism anduse of SRM's. For many of the nation's scientists and tech-nologists it is therefore of more than passing interest toknow the details of the measurements made at NBS in arrivingat the certified values of the SRM's produced. An NBS seriesof papers, of which this publication is a member, called theNBS Special Publication - 260 Series is reserved for thispurpose
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This 260 Series is dedicated to the -dissemination ofinformation on all phases of the preparation, measurement,and certification of NBS-SRM's. In general, much more de-tail will be found in these papers than is generally allowed,or desirable, in scientific journal articles. This enablesthe user to assess the validity and accuracy of the measure-ment processes employed, to judge the statistical analysis,and to learn details of techniques and methods utilized forwork entailing the greatest care and accuracy. It is alsohoped that these papers will provide sufficient additionalinformation not found on the certificate so that new appli-cations in diverse fields not foreseen at the time the SRMwas originally issued will be sought and found.
Inquiries concerning the technical content of thispaper should be directed to the author (s). Other questionsconcerned with the availability, delivery, price, and soforth will receive prompt attention from:
Office of Standard Reference MaterialsNational Bureau of StandardsWashington, D.C. 20234
J. Paul Cali, ChiefOffice of Standard Reference Materials
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V
CONTENTS
PAGE
I. INTRODUCTION 1
II. SAMPLES 3
III. EXPERIMENTAL APPARATUS AND METHOD 5
A. Apparatus 5B, Experimental Procedure 7
IV. ANALYSIS OF DATA AND TEMPERATURE MEASUREMENT 8
A. Data Analysis 8
B. Temperature Measurement 13
V. USE OF SRM 767 15
VI. APPENDIX A 18
VII. REFERENCES 20
LIST OF TABLES
PAGETable No .
I. Assays of Bulk Starting Materials for Super-conductive Thermometric Fixed Point Devices(ppm by weight) 3
II. Temperature Dependences of Germanium Thermo-meters (values in parentheses have changedduring the experiments described in thisreport) 9
III. Summaries of AT Values, by Element, in mK,Before and Afte? Adopting a Grease-Plus-Conductive-Varnish Mounting Technique 12
IV. Assigned Transition Temperatures of Super-conductive Samples, Derivations of the AssignedValues, Uncertainties in the Assignments, andExperimental Reproducibilities as Fixed Points 14
vi
LIST OF FIGURES
PAGE
Figure No .
1. The experimental cryostat 21
2. Schematic of the copper disk and samplemounting assembly 22
3. Block diagram of the transition measurementscheme, illustrating the definitions of thetransition width, W. and of the transitiontemperature, T 23
c
4 . Schematic drawing of the mutual inductancecircuit 24
5. Schematic drawing of the resistance measure-ment circuit 25
vii
PREPARATION AND USE OF
SUPERCONDUCTIVE FIXED POINT DEVICES
SRM 767
by
J. F. Schooley, R. J. Soulen, Jr., and G. A. Evans, Jr.National Bureau of Standards
Department of CommerceWashington, D. C. 20234
The preparation, testing, and use of SRM76 7 devices are described. These devicesincorporate samples of lead, indium, alumi-num, zinc, and cadmium within a mutualinductance coil pair. These elementsbecome superconductive at temperatures near7.2 K, 3.4 K, 1.2 K, 0.85 K and 0.5 K,respectively, and the transition midpoints,when attained by observing the samplemagnetic susceptibilities in negligiblysmall magnetic fields, provide thermometricreference points which are reproducible to+ 1 mK.
Key words: Aluminum; cadmium; cryogenics;indium; lead; magnetic susceptibility;superconductive transition temperature;superconductivity; thermometric fixedpoints; zinc.
I . INTRODUCTION
In scientific and engineering work, temperature measure-
ments below 20 K can be referred to a variety of thermometric
fixed points and temperature scales. The International
Practical Temperature Scale of 1968 [1] recognizes the triple
point and two boiling points of equilibrium hydrogen as
fixed points, and it defines temperatures from 13.81 K
upwards in terms of the resistance of standard platinum
1
resistance thermometers. In addition, it recommends the
1958 '^He and the 1962 ^He vapor pressure scales for use
between 0.2 K and 5.2 K. Furthermore, it appears likely
that a temperature scale based on the velocity of sound in
pure gases [2] eventually will be recognized as a standard
from about 2 K to 30 K. Still other temperature scales,
such as one based on the thermal noise in a resistance [3]
and another involving the angular distribution of radiation
from oriented nuclei [4] , appear to be quite promising at
lower temperatures
.
However, the realization of each of these fixed points
and temperature scales is a challenging problem in the
laboratory. With the exception of the ^He and the '*He
vapor pressure scales, none has been used with any regular-
ity in actual experimental cryostats . With the advent of
the ^He dilution refrigerator [5] , moreover, the cooling bath
which determines the temperature of the experimental chamber
is no longer a pure liquid, but rather is a variable mixture
of the two isotopes of helium, for which no ready vapor
pressure — temperature relation is at hand.
In order to provide reliable temperature information,
various experimenters use semiconductor resistance, paramag-
netic susceptibility, thermocouple, nuclear resonance and
other theinnometers . These have the common feature that
they must be calibrated so that the temperature-dependent
observable can be related to an accepted temperature scale;
in many cases, this must be done for each experiment be-
cause the device is not reproducible after warming to room
temperature
.
One means of providing a convenient in situ temperature
calibration involves the observation of the superconductive
transitions in various metals. Since T values are oftenc
quite sensitive to impurities, it appeared resonable to
examine the purest stocks available. Preliminary studies [6]
2
indicated that superconductive transitions reproducible
to + 1 mK might be obtained for pure samples of lead
(T^ 'V 7.2 K) , indium (T^ ^ 3.4 K) , aluminum (T^ ^ 1.2 K) ,
zinc (T 0.8 K), cadmiiim (T 0.5 K), and iridiumc c
(T 'v. 0.1 K). The superconductive transitions in higher -oalloys were quite broad, so that no further attempt
has been made to use them in thermometric fixed point devices.
A search for sources of pure, yet inexpensive supplies of
the elements listed above indicated that only the first five
were readily available. This report contains a discussion
of the preparation and use of devices containing these
elements
.
II . SAMPLES
Bulk quantities of high-purity aluminum, zinc, and
cadmium were available from the Office of Standard Reference
Materials. Ingots of lead in indium were obtained commer-
cially. The following table lists the assays available with
these materials
:
Table I. Assays of Bulk Starting Materialsfor Superconductive ThermometricFixed Point Devices (ppm by weight)
ZINC LEAD CADMIUM ALUMINUM INDIUM
;rm 6 8 2 HPM 9284 SRM 746 HPM 5831 JK 762
CI < .5 Cu .2 K < 4 Si 1. Pb 3
0 < .5 Cd .1 Na < 3 Cu .5 Tl 3
Si < .5 Fe .1 0 < 2 Mg .5 Sn 1
Ca < .2 Si .1 Pb .8 Ca .2 Cd < 1
Na < .2 Tl .1 Ca < .6 Cr .2 Fe < 1
Ti < .2 Bi < .1 Cr .4 Ag .1 Cu nf
Cd .1 Ca < .1 C < .1 Ga nf
3
Table I (continued)
ZINC LEAD CADMIUM INDIUMSRM 682 HPM 9284 SRM 746 JK 762
Fe .1 Mg < .1 Mg .1 Ni nf
K < .1 Ag < .1 CI .2 Ag nf
Mg < . 1 Zn .
1
Ni < .1 As < .1
Rb < .1
(Fe, Mn-not determined)
The preparation of fixed-point samples of Pb, In, Zn,
and Cd was begun by casting the high-purity ingots, under
high vacuum, into rods 1 cm in diameter and 25 cm long.
These rods were cut into slugs 1.5 cm long and then etched
with nitric acid to remove possible contamination. Sub-
sequently, the slugs were handled with clean tweezers.
Before the slugs were placed in pyrex molds for specimen
casting, they were rinsed three times in distilled water
and dried.
The casting of the slugs into rods 1.5 mm in diameter
and 15 cm long was done under high vacuum while heating
the pyrex molds to the melting point of the particular
material being cast. In order to force the molten slug
into the capillary, it was often necessary to isolate the
vacuum pump from the mold and to introduce an atmosphere
of helium. The helium was purified by passing it through
a zeolite trap at 77 K.
With the exception of Zn, the glass molds were etched
away from the rod with hydrofluoric acid. The Zn samples
were not prepared this way because hydrofluoric acid
attacks the metal; instead, they were extracted by breaking
the glass mold with a wooden mallet. The specimens cut
from the 1,5 mm rod were then filed, rounding the ends to
reduce any effects on the measurement of the superconductive
4
transitions. The samples were etched in a solution of nitric
acid and rinsed three times in distilled water. The Pb
samples received an additional alcohol rinse, as this seemed
to retard oxidation.
To avoid excessively broad (20-40 mK) transitions,
it was necessary to anneal the Zn and Cd samples; however,
it was not necessary for the Al, Pb, and In specimens.
The Zn specimens were annealed for 48 hours at 395-398 °C
and the Cd samples were annealed for 48 hours at 30 8-311 °C.
Both Zn and Cd samples were sealed in pyrex tubes with two-
thirds of an atmosphere of purified helium to prevent subli-
mation.
The Al samples were made by tying six 3 cm long, 0.5 mm
diameter wires of OSRM HPM 5831 Al into a bundle with nylon
thread
.
III. EXPERIMENTAL APPARATUS AND METHOD
A . Apparatus
The apparatus used in this work was a ^He-'*He dilution
refrigerator with a countercurrent capillary heat exchanger,
in which a copper platform was provided for the simulta-
neous measurement of up to five germanium resistance thermo-
meters and of as many as five sets of superconductive samples.
The single-heat-exchanger dilution refrigerator has
been discussed in the literature, and its operating charact-
eristics are reasonably reliable [5] . Design features of this
cryostat which are particularly relevant for these experi-
ments are shown in schematic form in Fig. 1.
In order to provide an environment with thermometric
precision and reproducibility of one millikelvin at temper-
atures ranging from 0.5 to 20 K, it was necessary to employ
a set of five germanium resistance thermometers monitored
5
by a set of the superconductive fixed point samples. The
five resistance therrnometers , five superconductive devices
and a resistive heater were mounted on the copper platform
shown in Fig. 1.
Individual samples were inserted into a copper stud,
as shown in Fig. 2. The following procedure was developed
for mounting to ensure thermal equilibrium and mechanical
rigidity between the samples and the stud; stopcock grease
was inserted into the mounting hole before the sample was
placed therein, and an electrically conductive varnish-silver
powder mixture was brushed on afteirward. It was found in
early experiments that several samples could be included in
a single stud without noticeable interaction; in fact, holes
for extra samples were drilled in the studs in the event
that other materials might eventually prove useful for
thermometric fixed points.
As indicated in Fig. 2, the transitions were observed
by means of a mutual inductance coil pair. In these measure-
ments, the primary coils on each of the five devices were
connected in series and the five secondary coils had one
common lead; thus the measurement of twenty-five individual
samples required but eight electrical leads.
The germanium thermometer resistances were obtained by
four-lead dc potentiometry , in which the voltage across a
standard 1000 9, resistor and the voltage across the one
resistance thermometer electrically in series with it were
measured alternately. The voltage could be resolved to 0.1
yV and, for the measuring currents used, the resultant
temperature resolution was <_ 0.1 mK.
Superconductive fixed point devices were made part
of a mutual inductance bridge circuit, which was monitored
by a phase-sensitiVe detector. The circuit is shown in
block form in Fig. 3, and is discussed in Appendix A. The
device coils were operated at 400 Hz with a magnetic field
6
amplitude of a few hundred nT. The earth's magnetic field
was reduced by external Helmholtz coils to less than 1 yT.
This method of observing the superconductive transitions
was selected primarily because of its convenience. It has
the added advantage, however, of avoiding the introduction
of strains or impurities which might accompany the placing
of electrical contacts on the sample for resistance measure-
ments. Finally, the magnetic inductance method has been
shown to produce values of T^ within one millikelvin of
those obtained from resistivity and heat capacity measure-
ments [7] .
B. Experimental Procedure
Before attempting to stabilize the platform at a
temperature point, the dilution chamber was first stabilized
a few tens of millikelvins below that point. For tempera-
tures below about 1 K, this procedure required operation
of the dilution refrigerator at a reduced ^He flow rate
and the application of up to one milliwatt of heat to the
dilution chamber. The thermal link to the dilution chamber
then brought the platform to a temperature slightly below
that desired with in a few minutes.
To reach the temperature of the appropriate supercon-
ductive fixed point, a manually variable direct current
was then applied to a resistor mounted on the center of the
platform while the progress of the superconductive transi-
tion was followed on the phase-sensitive mutual inductance
bridge detector meter or on an X-Y recorder connected to it.
Varying the heater current stabilized the platform at the
temperature characterized by the midpoint of the supercon-
ductor's inductive transition. To avoid errors due to
possible super-cooling effects, the transition midpoint was
always approached from the low-temperature side, and the
7
earth's field compensation was often checked before pro-
ceeding with the resistance measurements [8].
One result of using the dilution chamber for rough
temperature control was that less than 10 microwatts of
power was generated in the platform resistor during most
measurements; thus the possibility of thermal gradients due
to large heat flow in the platform was reduced. A second
advantage in using this method is that the electrical leads
to the platfoirm components pass through two nearly isothermal
"anchors", considerably reducing heat flow to or from the
components through their leads. For similar reasons, the
temperatures of the pumped "^He bath and of the ^He evapor-
ator were adjusted to consistent values each time measure-
ments were made at a given platform temperature.
Once stability was obtained at a given platform temp-
erature, the appropriate germanium resistors were measured
with one or more current settings.
IV. ANALYSIS OF DATA AND TEMPERATURE MEASUREMENT
A, Data Analysis
Analysis of the individual superconductive transitions
involved an evaluation of the width of the transition and
of the temperature of its transition midpoint in relation
to other samples of that kind. For these purposes, it was
necessary to know dR/dT, the temperature dependence of the
resistance of the appropriate germanium thermometers , at
each of the superconductive transition temperatures
.
In an early set of measurements , five devices were
measured many times, while the effects of thermal cycling,
resistor measuring current variations and mutual inductance
bridge parameter variation were examined. The resistance
values of the appropriate resistors were measured at the
8
midpoints of the superconductive transitions of each sample.
From these measurements, an average resistance, R^^^„, of
each resistor was obtained for each fixed point for which
the resistor was a useful thermometer. The resulting values
of Rj^yg are listed in the last column in Table II. Resistors
Table II. Temperature Dependences of GermaniumThermometers (values in parentheseshave changed during the experimentsdescribed in this report)
Thermometer dR Q R nNumber Temperature , K dT ' mK AVE '
1394 7.2 (lead) 0.08 (314.45)
1395 7.2 0.08 346.31
2412 7.2 0.08 (339.65)
1394 3.4 (indium) 0.8 1347.0
1395 3.4 0.8 1470.4
2412 3.4 0.8 (1580.3)
1394 1.2 (aluminum) 60. 20,015.
1395 1.2 70. 21,490.
2412 1.2 70. (22,193.)
452 1.2 1.7 (1,104.0)
452 0.84 (zinc) 5.7 (2,129.3)
1403 0.84 0.25 123.21
452 0.5 (cadmium) 40. (7,321.)
1403 0.5 0.4 206.65
9
139 4 and 1395 were calibrated against the NBS 2-20 K acous-
tic temperature scale [2] , readily yielding values of dR/dT
at the lead and indium points. Resistor 452 was calibrated
against T^^ [9] from 0.95-2 K in a separate experiment, and
the calibration was extended to 0.4 K by means of cerous
magnesium nitrate paramagnetic salt thermometry [10] ; these
measurements yielded values of dR/dT for resistor 452 at
the aluminum, zinc, and cadmium points. In order to obtain
the remaining values of dR/dT, it was sufficient to apply
small magnetic fields to the fixed-point samples, reducing
the temperature of the superconductive transitions slightly,
and to measure the resistances of the appropriate resistors
once again, obtaining the temperature shifts from values
of (dH /dT) in the literature,c i c
Once the resistor temperature dependences shown in TableII were determined, it was possible to obtain values for
deviations of individual sample T^'s from the average T^
for that element, and to evaluate the width of each transi-tion as well. The former quantity, which was designatedAT^^ was obtained from the relation
AT^ = AR [dR/dT]
where AR was simply the difference between the resistance
at the sample T and Rt.^^. The width, W, was obtained from^ C AVEthe X-Y recordings of the transitions by evaluating the
resistances at which the superconductive-to-normal and the
normal-to-superconductive transitions were 80-9 0% complete,
as shown in Fig. 3. Once again, if AR refers to the
resistance difference thus obtained, a simple ratio
W = ARldR/dT]"-*-
yields the desired quantity.
It should be clear from the method used to evaluate
W that any hysteresis exhibited by the sample would be
included in its measured width. However, such effects.
10
when present, rarely exceeded one millikelvin
.
The analysis of the fixed-point devices has been
complicated by changes occurring in the resistance thermo-
meters; in fact, the existence of these changes has shown
the usefulness of thermometric fixed points. In a typical
case of this kind, the AT^ values of all the samples of
one element would be relatively large and similar to each
other, according to measurements made with one resistor.
Because at least two resistors were in use at each fixed-
point temperature, this problem was easily interpreted.
Usually, the five sample AT^ values measured with all other
resistors were less than about one-half millikelvin and the
five values measured with the deviant resistor were clustered
about a relatively large value; even though only two resistors
might be in use at the fixed point, the fact that all five
samples gave similar indications was convincing evidence
that the anomalous results were due to a shift in the
resistance-temperature relation of the corresponding resistor.
For example, we have shown that resistor 1394 has shifted
from time to time by as much as 2 mK at the lead point; the
shift followed the warming of the apparatus to room temper-
ature. (It may be worth noting, however, that the resistor
itself had not been remounted, nor had its leads been
knowingly disturbed, during these times). A larger shift
has occurred once in resistor 452, referring all of the fixed-
point data to new, evidently reproducible resistance values
111] . Resistor 2412 has suffered a drastic and apparently
fatal change in its behavior, as its fixed-point values are
no longer reproducible.
Recurring anomalies in the lead and aluminum AT^ values
led to a modification in the procedure used to fasten the
samples into the Cu stud. We found that AT^ values of
perhaps one-fourth of over three dozen of these samples were
greater than 1 mK, and poor thermal response often appeared
11
during the transition recording. Upon microscopic exami-
nation of the device, it was found that the solvent used in
the anchoring varnish apparently evaporated in such a way
as to force most of the varnish out of the annular space
between the sample and its mounting hole. When stopcock
grease was substituted' for the varnish, the problem
disappeared, and no anomalous lead or aluminum AT^
has since been observed in over three dozen measurements
on these samples. Inasmuch as the AT^ values observed in
these experiments so far give a reasonable picture of the
overall experimental uncertainty of the fixed-point measure-
ments, summaries of these values are shown in Table III.
The reduction in average AT^ values accompanying the change
in mounting procedure can be seen readily. In fact, only
two of eight dozen measurements made after the mounting
procedure change have yielded AT^ values as high as 1 mK.
Table III. Summaries of AT Values, by Element,in mK, Before and After Adopting aGrease -Plus-Conductive-Varnish Mount-ing Technique
A, Varnish Only
Average Pb (22) * In (17) Al(18) Zn(17) Cd(18)
AT .63 .28 .77 .27 .42c
AT +.56 -.14 -.28 0 +.35c
B. Grease and Conductive Varnish
AT .32 (24) .15 (17) .28 (15) .22 (20) .30 (20)c
AT +.24 -,06 -.09 +.21 +.27c
*Numbers in parentheses are the numbers of specimens meas-ured .
12
B. Temperature Measurement
Values of the various transition temperatures were
derived from paramagnetic salt thermometry in conjunction
with the ^He vapor pressure-temperature scale [9] or with
the NBS 2-20 K acoustical temperature scale [2]. In the for-
mer case, the set o-f germanium resistors was calibrated at
several temperatures against readings taken on a ^He vapor
pressure bulb, and the paramagnetic susceptibility of a cerous
magnesium nitrate single crystal sphere was used to evaluate
the Zn and Cd transition temperatures. The germanium resis-
tances corresponding to the Al transition were evaluated
directly against the ^He bulb temperature. The Pb and In
transition temperatures were obtained by paramagnetic salt
thermometry interpolation between points of germanium resis-
tors which had been calibrated on the NBS 2-20 K scale.
These derivations are indicated in Table IV.
A summary of the transition temperatures assigned to
the superconductive fixed-point device samples by this
procedure is given in the second column of Table IV. The
uncertainties in assigning the appropriate temperature scale
values to the respective fixed-point resistances are shown
in the fourth column, and the experimental average magnitude
of AT is listed in the last column,c
13
Table IV. Assigned Transition Temperatures ofSuperconductive Samples, Derivationsof the Assigned Values, Uncertaintiesin the Assignments, and ExperimentalReproducibilities as Fixed Points.
Assignment ExperimentalAssigned Uncertainty Reproducibility
Element T (K) Derivation (mK) (mK)
He v.p. Tg2
Lead 7.201 (NBS 2-20 K) + 2.5 0.32salt thermometry
Indium 3-. 416^ (NBS 2-20 K) + 1.5 0.15salt thermometry
Aluminum 1.174^ Direct Calib. - 2. 0.286 3-
Zinc 0.844 T^^ + salt thermo- 1.5 0.2 252 .metry
Cadmium 0.515 T^_ + salt thermo- 2.5 0.306 2,metry
It should be emphasized that the limits of error shown in
Column 4 of Table IV indicate primarily the difficulty of
assigning temperature scale values to the appropriate
germanium resistances, while Column 5 reflects the experiment-
al reproducibilities of the various samples as thermometric
fixed points. No attempt has been made to estimate the
deviation of the two temperature scales from the thermo-
dynamic scale; there is evidence that both scales deviate
to some extent from thermodynamic temperatures , but of
course, these experiments cannot disclose such deviations.
The transition temperature assignment uncertainties shown
in Table IV can be expected to decrease as the corresponding
T values continue to be measured on the defining scales;c
the uncertainties not shown in Table IV but present none-
theless due to uncertainties in the relevant temperature
scales can be reduced by inclusion of the devices in experi-
14
ments of the kind mentioned in the introduction to this
report. It is the fond hope of the present authors that
such experiments will soon take place.
V. USE OF SRM 767
SRM 76 7 as released by NBS Office of Standard Reference
Materials consists of a set of five samples (Pb, In, Al, Zn,
and Cd) varnished into a copper stud, as shown in Fig. 2,
and enclosed by a bakelite cover and a mutual inductance
coil set. Overall, the device is about 1.5 cm diameter
by 4 cm long. An identifying serial number is located
at the top of the protective cover.
The user should be particularly aware of three con-
siderations in placing SRM 767 in service. First, the
copper stud should be brought to thermal equilibrium with
the experiment or with the thermometer which is to be
calibrated. This can be accomplished by connecting both
to a solid copper block. The SRM 76 7 copper mounting stud
terminates in a 6-32 thread about 5 mm long, and a matching
tapped hole should be provided in the sample block. A light
coating of stopcock grease placed on the threads of the
mounting stud and a light tightening pressure (simply with
the fingers) will form an adequate thermal connection between
the mounting stud and the sample block. In addition, the
four electrical leads to the measuring coils should be
varnished or greased to the sample block over a length of
perhaps 5 cm to avoid heat influx to the device via that
avenue
.
A second consideration in using the device is control
of the ambient magnetic field. In order to avoid depressing
the transition temperatures of the superconductive samples
and probably introducing hysteresis due to supercooling, the
user should reduce the ambient magnetic field to 1 yT or
15
less. This can be accomplished by using three mutually
orthogonal Helmholtz pairs outside of the apparatus , provid-
ing that no extensive ferromagnetic or superconductive
layer intervenes. (An example of an interfering super-
conductive layer would be a vacuum jacket tinned with 50/50
lead-tin solder and enclosing the sample area. Such a
cylinder will become superconductive slightly above 7 K,
and will trap the magnetic flux inside it at the time of
its transition. Subsequent adjustment of external earth's
field compensation coils would not alter the trapped inter-
nal magnetic field.) Another method of removing the earth's
field involves the use of ferromagnetic shielding using mu-
metal or its equivalent. Carefully made and carefully used,
such shielding can reduce the ambient magnetic field to
values well below 1 yT, but it is well to use it only in a
situation where the remanent field can be measured. If the
ambient field must be tolerated in the experimental chamber,
its value must be measured, and the various fixed-point
values must be reduced by the appropriate (dH^/dT)^^ values.
In addition to correcting the T^, the user should note that
supercooling of the fixed-point samples is likely to occur
in the earth's magnetic field. If it does, then only the
superconductive-to-normal transition midpoint will correspond
to T , and therefore (as will be noted below) T must bec c
reached in warming
.
The third consideration relevant to the use of SRM 76 7
is that an adequate mutual inductance measuring circuit
should be used. The circuit used in the present measure-
ments is shown in block form in Fig. 3 and in more detail
in Appendix A. It is not necessary to use a very sophis-
ticated measuring circuit, but care should be taken to
restrict the measuring field to 1 yT, (which implies a
primary current of less than 20 yA) and to obtain a stable
circuit output. In most applications, a given T^ can be
16
reached by warming the sample block while observing the
mutual inductance bridge imbalance on a meter. Having
ascertained the meter readings corresponding to the limits
of the transition, the operator can maintain by warming
the sample block a second time until the meter shows that
the transition midpoint has been reached. The heating rate
should be sufficiently slow that the superconductive-to-
normal transition is not completed. By maintaining the
heating rate at a suitable value, the operator can maintain
for an indeterminate length of time. It should be noted,
however, that drift in the measuring circuit output can
mislead the operator; indeed, a drift of one-half the tran-
sition width in the monitoring circuit can result in failure
to maintain T at all.c
In siimmary, SRM 76 7 is a four-lead mutual inductance
device which can provide millikelvin reproducibility at
each of five cryogenic temperatures, if proper care is taken
to ensure good thermal contact between the device and an
experiment or a thermometer, to cancel or to measure the
earth's magnetic field, and to provide a suitable current
amplitude and output stability in the measuring circuit.
17
VI . APPENDIX A
THE TRANSITION MEASURING CIRCUITS
The mutual inductance and thermometer resistance
circuits are shown in Figs. 4 and 5, respectively, in more
detail than in Fig. 3.
The mutual inductance measurement was based on the
well-known Hartshorn's bridge circuit. The phase-sensitive
detector supplied a 400 Hz signal to the bridge circuit
through an isolation transformer, shown as A in Fig. 4. The
standard inductor B was chosen so that the sample coil mutual
inductance (about two millihenries) was within the useful
range of the ratio arm transformer inductance, C. Switches
D and E provided for reversal of the inductive and resistive
components of the sample secondary coil voltage. Transfor-
mer F isolated the secondary circuit form the detector ground.
Typically, the sample coil primary current was a few micro-
amperes . The mutual inductance change which occurred when
a particular sample became superconductive was about ten
microhenries; in this circuit, the resulting detector signal
was perhaps five microvolts.
It is quite feasible to observe the superconductive
transitions with simpler mutual inductance equipment, and
work is in progress to develop an economical but stable
circuit.
The resistance measuring circuit used in these experi-
ments is shown in some detail in Fig. 5. It is a reasonably
sim.ple dc potentiometric circuit of the "substitution" type,
in which the voltage across the sample resistor is compared
with the voltage across a standard resistor. In this
measurement scheme, slow drift of the potentiometer standard
cell does not effect the accuracy of the measurement. Other
refinements adopted here are the temperature stabilizing of
the potentiometer working cell and of the resistor current
18
supply cell, the provision of continuous current drain
through a l-megohm resistor to electrically stabilize the
latter cell, and a high-quality four-deck switch (S4) which
simultaneously reverses the potentiometer current and the
resistor current.
In use, the circuit involved the selection of a partic-
ular germanium thermometer and current with switches S3 and
SI, respectively, and the sequential measurement of the
standard resistor and germanium thermometer voltages. The
use of reversing switch S4 during a voltage measurement
enabled the operator to ignore thermal emfs generated in
the voltage leads; since these would not change sign on
reversal of the current, they simply resulted in a zero
offset of the detector meter. Thermal emf ' s of one to
three microvolts were commonly seen in measuring the german-
ium thermometer voltages. The ratio of thermometer voltage
of standard resistor voltage provided the thermometer resis-
tance in terms of the standard resistance. The standard
resistor voltage drifted during a day's measurements by
one or two parts in ten thousand, and it was assumed that
this change represented drift in the resistor current.
Different current values were used for measuring the
different germanium thermometers. These currents ranged
from 0.1 yA to 10 yA, and in general we used the highest
current setting consistent with the avoidance of noticeable
heating of the geinnanium thermometer. This level was
easily determined by measuring the thermometer resistance
with several current values.
It is quite possible that the use of an ac resistance
measurement technique would have yielded results as accurate
as Cor, perish the thought, more accurate than!) the dc
technique described here; certainly the ac measurements are
faster and more sensitive. However, the relative simplicity
of the dc technique and its freedom from unknown sources of
19
error gave the present authors an extremely comforting
sense of well-being.
VII . REFERENCES
[1] International Committee on Weights and Measures, Metro-logia 5, 35 (1969)
.
[2] H. H. Plumb and G. Cataland, Metrologia 2^, 127 (1966).
[3] R. A. Kamper, paper Ml in Symposium on the Physics ofSuperconductive Devices Univ. of Virginia, 28-29 April,1967. See also R. A. Kamper and J. E. Zimmerman, J.Appl. Phys. 42^, 132 (1971).
[4] P. M. Berglund, H. K. Collan, G. J. Enholm, R. G. Gyllingand 0. V. Lounasmaa, J. Low Temp. Phys. 6_, 357 (1972).
15] See, for example, A. C. Anderson, RSI £1, 1446 (1970).
16] J. F. Schooley and R. J. Soulen, Jr., paper S-12, 5thSymposium on Temperature, 21-2 4 June 19 71, Washington,D. C.
17] R. J. Soulen, Jr. and J. H. Colwell, J. Low Tern. Phys.5, 325 (1971)
.
18] R. E. Fassnacht and J. R. Dillinger pointed out in Phys.Rev. 164 , 565 (196 7) that one can establish a minimumfield at the sample by varying the Helmholtz coilcurrent until a maximum T is reached.
c
19] R. H. Sherman, S. G. Sydoriak, and T. R. Roberts, J.Res. Nat. Bur. Stds. 6 8A, 579 (1964).
110] J. M. Daniels and F. N. H. Robinson, Phil. Mag. 44 ,
630, (1953-) .
Ill] It should be noted that a small shift in the fixed-point resistance did not render a resistor useless inthese experiments. This is true, once again, becausea group of fixed-point samples is present; in case acluster of AT^^ values larger than, say, 0 . 4 mK occurswith only one resistor, a new value of R^vE ^®adopted for that experiment such that the new AT^values cluster near the average AT^_. determined fromthe remaining thermometers. Then any single samplewhich shows an anomalous value of AT^ on the remain-ing resistors should show one of similar magnitudeand sign on the corrected resistor.
20
He RETURN
— He DEWARVACUUM JACKET
-He POT
'He PUMP LINE
e IMPEDANCE
',He EVAPORATOR
COUNTER CURRENTCAPILLARY
SUPPORT CYLINDER
DILUTION CHAMBER
Ce THERMOMETERS
PLATFORM
SUPERCONDUCTIVEFIXED POINTDEVICES
THERMAL LINK
PLATFORMHEATER
Figure 1. The experimental cryostat. The ^He return flowis equilibrated at 4.2 K, at 1 K, and at the sintered Cuflow impedance at 0.6 - 0.8 K. The impedance permits a flowrate of about 0.2 cc of '*He gas per minute with a 1-atmpressure differential. The heat exchanger is composed ofone meter of concentric .010" ID - .02" OD and .040" ID -
.050" OD stainless steel tubes. The ^He evaporator and thedilution chamber volumes are each about 5 cc, permitting awide range of operating conditions without displacing thephase boundary from the dilution chamber. The supportcylinders are two layers of .005" mylar. The platform is a6 cm dia. , 1 cm thick block of OFHC copper, and it is ther-mally connected to the dilution chamber by 100 #38 copperwires. The .004" electrical lead wires are thermally anchoredto the platform and to copper blocks on the dilution chamber,on the evaporator, on the He pot, and on the vacuum jacket.
21
Figure 2. Schematic of the copper disk and sample mountingassembly. The mutual inductance coils are wound on bake-lite formers. The primary coil contains 400 turns of #38AWG copper wire and is 2.5 cm long, while the 1 cm long,secondary coil contains 2000 turns of #40 AWG copper wire.The insert at the bottom shows the location of the individ-ual samples relative to the indicator notch in the copperstud.
22
Y-AXIS
LOCK- IN
DETECTOR
MUTUALINDUCTANCE
BRIDGE
SAMPLECOILS —
X-Y RECORDER
X-AXIS
DETECTOR
POTENTIOMETER
I COPPER DISC
DEWAR
GeTHERMOMETER
Figure 3. Block diagram of the transition measurementscheme, illustrating the definitions of the transition width,W. and of the transition temperature, T .
23
PHASE SENSITIVE DETECTOR
RECORDER OUT_
SIGNAL IN -OSCILLATOR
OUT
MUTUAL INDUCTANCE BRIDGEA B CDF
RECORDERY-AXIS
6 L
SAMPLE COILS
( TWO OF THE FIVE ARE SHOWN )
Figure 4. Schematic drawing of the mutual inductance circuit,A and F are isolation transformers, B is a 50 mH standardinductor, C is a ratio arm transformer, D reverses x'^ theinductive voltage component, and E reverses x" r the resis-tive voltage component. Switch G selects the appropriatesecondary coil.
24
NULL DETECTORSIGNAL IN RECORDER ^
OUT
RECORDERX-AXIS
POTENTIOMETERDETECTOR OUT ^^F
-WORKING CELL
S4
Figure 5. Schematic drawing of the resistance measurementcircuit. B is an oil-bath-stabilized mercury cell with acontinuous current draining resistor of 1 megohm, C is thepotentiometer constant current supply, D is a set of resis-tors which allow various thermometer currents to be used,R is a 1000 Q standard resistor, SI switches the thermometercurrent from one germanium resistor to another, S2 switchesthe potentiometer emf terminals from one resistor to anotherS3 is the current range switch, and S4 simultaneouslyreverses the potentiometer supply current and the resistorcurrent.
25
^ORM NBS-114A (1-71)
U.S. DEPT. OF COMM. 1. PUBLICATION OR REPORT NO. 2. Gov't Accessicwi
BIBLIOGRAPHIC DATA No.
SHEET NBS SP 260-44
3. Recipient's Accession No.
4. TITLE AND SUBTITLE Standard Reference Materials:Preparation and Use of Superconductive Fixed PointDevices, SRM 767
5. Publication Date
December 19726. Performing Or^nization Code
7. AUTHOR(S)
J. F. Schoolev, R. J. Soulen, Jr.. and G. A. Evans ^ Ji
8. Performing Organization
9. PERFORMING ORGANIZATION NAME AND ADDRESS
NATIONAL BUREAU OF STANDARDSDEPARTMENT OF rOMMFRTFWASHINGTON, D.C. 20234
l"0. Project/Task/Work Unit No.
11. Contract/Grant No.
12. Sponsoring Organization Name and Address
Same as block 9
.
13. Type of Report & PeriodCovered
Final14. Sponsoring Agency Code
15. SUPPLEMENTARY NOTES
16. ABSTRACT (A 200-word or less factual summary of most significant information. If document includes a significantbibliography or literature survey, mention it here.)
The preparation, testing, and use of SRM 767 devices are described.
These devices incorporate samples of lead, indium, al\aminum, zinc, and
cadmium within a mutual inductance coil pair. These elements become
superconductive at temperatures near 7.2 K, 3.4 K, 1.2 K, 0.85 K and
Q.5 K, respectively, and the transition midpoints, when attained by
observing the sample magnetic susceptibilities in negligible small
magnetic fields, provide thermometric reference points which are
reproducible to + 1 mK.
17. KEY WORDS (Alphabetical order, separated by semicolons) _ - . _ .Aluminum; cadmium; cryogenics; indium;lead; magnetic susceptibility; superconductive transition temperature;superconductivity; ^h(=>r•TnnTn<a^-r^^ r' fivor^ points
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